PLEASE HELP!! 100 points!


(a) Approximate the square root terms using the perfect squares approximation method. Your answer should be a mixed fraction. Make sure to show your work.

a. Please note pi does not need to be approximated by the perfect squares approximation method as it is not a square root.

(b) Order the numbers from least to greatest. Please show your answer using the original symbols and radicals provided. You may use decimals or fractions as part of your work for figuring it out.

a. Insert->Equation will give you access to the special formatting, and use the Equation tab to access the Radical function for setting up square roots.


full question w/ numbers and formatting:

The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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Answer:  2: an equation in the form y = mx + b

1. An x/y table may have two entries with the same x; not a function in that case.

2.  That's a line with a slope; for each x there's a single y, definitely a function

3.  Ordered pairs -- like the table, the same x with different ys is possible, which wouldn't be a function.

4. List of numbers  -- a list isn't a function, at least not without more context

The statement provided is actually the opposite of the correct definitions.

In database terminology, a field refers to a single piece of information that is stored in a database table. A field can contain a variety of data types such as text, numbers, dates, and so on. For example, in a database table of customer information, there might be fields for the customer's name, address, phone number, and email.

A record, on the other hand, is a complete set of information about an entity in a database. A record consists of a collection of fields that are all related to each other. For example, in the customer information table mentioned above, a single record might represent a specific customer, and would contain all the fields related to that customer (name, address, phone number, email, etc.).

So to summarize, a field is a single piece of information within a record, while a record is a collection of related fields that together represent a complete set of information about an entity in a database.

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To find the minimum distance between the point (0,4) on the y-axis and points on the graph of the function \(y=x^2\), we can use the distance formula. The minimum distance occurs when a perpendicular line is drawn from the point (0,4) to the graph of the function.

The graph of the function \(y=x^2\) is a parabola in the xy-plane. We are interested in finding the minimum distance between the point (0,4) on the y-axis and points on this graph.

To find the minimum distance, we can draw a perpendicular line from the point (0,4) to the graph of the function. This line will intersect the graph at a certain point. The distance between (0,4) and this point of intersection will be the minimum distance.

To find the coordinates of the point of intersection, we substitute \(y=x^2\) into the equation of the line perpendicular to the y-axis passing through (0,4). This equation takes the form \(x=k\) for some constant \(k\). By solving this equation, we can determine the x-coordinate of the point of intersection.

Once we have the x-coordinate, we substitute it back into the equation of the function \(y=x^2\) to find the corresponding y-coordinate. With the coordinates of the point of intersection, we can calculate the distance between (0,4) and this point using the distance formula.

The answer should be rationalized by simplifying any radical expressions in the denominator, if present, to obtain a fully simplified form of the minimum distance.

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Answer:

747+9+83=839

Step-by-step explanation:

We can use 9x83=747 as a extra help to get the answer. Say you need the answer above (which I gave you) so you get 9x83 as an example to help figure out 749+9+83=839.

Answer:

Step-by-step explanation:

let x be apple juice and y be orange juice

12 = x + y

x = 12 - y

15 = 1x + 1.5y

x = 15 - 1.5y

set the equations as equal

12 - y = 15 - 1.5y

solve for y

12 + .5y = 15

.5y = 3

y = 6,  you bought 6 bottles of orange juice

so, 12 = x + 6 , x = 6 , you bought 6 bottles of apple juice

Answer:

+1/2

Step-by-step explanation:

its the negative reciprocal

Answer:

if we assume that

tan = opp/adj

then we can find the hypotenus by using phytagoras law

h² = o² + a²

h² = (m-1)² + (2√m)²

h² = m² - 2m + 1 + 4m

h² = m² + 2m + 1

then we factorized become

h² = (m + 1)²

h = m+1

so for sin x = opp/hyp = (m-1)/(m+1)

hope this can help you.

Answer:

To know if it is a function see if there are two of the same x-intercept( which makes a vertical line). If there is,then it is not a function.

Answer:

How you can tell

Step-by-step explanation:

A function assigns exactly one output to each input: x/input y/output

How they work: X can not repeat but Y can.

Lets see your problem, there are no inputs repeating and the outputs are fine.

That is a function!

Answer:

C

Domain: {-2, -1, 1, 3}

Range: {-4, 0, 4, 6}

Step-by-step explanation:

The domain is the set containing all x-coordinates.

Domain: {-2, -1, 1, 3}

The range is the set containing all y-coordinates.

Range: {-4, 0, 4, 6}

Answer:

C

Domain: {-2, -1, 1, 3}

Range: {-4, 0, 4, 6}

The range of the functions f(x) = |x| 9 and g(x) = –6 then (f+g)(x) will be equal  to (f+g)(x)\(\geq\)3 for all the values of x.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

It is given that

\(f(x)=|x|+9\)

\(g(x)=-6\)

So now

\((f+g)(x)=|x|+9-6=|x|+5\)

So from the above equation, we can see that (f+g)(x) describes the range  (f+g)(x)\(\geq\)3

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Answers 76:

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 1/4a = 3

   a = 12

   answer is C

2. -2c = 18

     c = -9

   answer is A

3. 2/3x = 6

    2x = 18

     x = 9

   Answer is A

4. x/4 =12/6

    x/4 = 2

     x = 8

   answer is C

5. 18 - 11= 7 more cupcakes

     answer is C

Answer:

3 - 13i

Step-by-step explanation:

3 - 6i - 7i

3 - 13i

Answer:

-2, -|-1.8|, 0, 1.3, and |-2.7|

Step-by-step explanation:

The numbers from least to greatest would be:

-2, -|-1.8|, 0, 1.3, and |-2.7|

The absolute value of all negative numbers is always its positive version, so  this is why |-2.7| is the greatest.

Answer:

x=5/16

Step-by-step explanation:

3-8x=8x/5

(3-8x)5=8x

15-40x=8x

15=8x+40x

15=48x

x=15/48

x=5/16 ans.

Step-by-step explanation:

firat one 50.24

second one 63.585

Answer:

one solutions

Step-by-step explanation:

Answer:

∠AMC = 76°

Step-by-step explanation:

1) Because ∠YMC = 170°, you need to add 5x+19 (∠YMA) and 5x+1 (∠AMC) to equal the length of ∠YMC:

170 = 5x + 19 + 5x + 1

2) Combine like terms:

170 = 10x + 20

3) Subtract 20 from both sides:

150 = 10x

4) Divide by 10:

x =15

5) Replace x in ∠AMC with 15:

5(15) + 1

6) Multiply:

∠AMC = 76°

The measure of ∠AMC is 76°.

Given that, m∠YMC=170°, m∠YMA=(5x+19)° and m∠AMC=(5x+1)°.

We need to find the value of m∠AMC.

The two angles are said to be adjacent angles when they share the common vertex and side. The endpoint of the rays, forming the sides of an angle, is called the vertex of an angle. Adjacent angles can be complementary angles or supplementary angles when they share the common vertex and side.

Now, m∠YMA+m∠AMC=m∠YMC

⇒(5x+19)° + (5x+1)°=170°

⇒10x+20=170

⇒10x=150

⇒x=15

So, m∠AMC=5x+1=76°

Therefore, the measure of ∠AMC is 76°.

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The value of the expression is -8. Option A

It is important to note that algebraic expressions are expressions that are made up of variables, terms, coefficients, constant and factors.

From the information given, we have that;

3x-6= 5x - 2

collect like terms

3x - 5x = -2 +6

subtract the like terms

-2x = 4

Make 'x' subject

x = -2

Substitute the value in the equation

2x - 4

2(-2) - 4

expand bracket

-8

Hence, the value is -8

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Answer:

6

Step-by-step explanation:

The value of n—9 when n = 15

15- 9= 6

Answer: 6

Step-by-step explanation:

n = 15

15 - 9

= 6

Answer:

y= 24

Step-by-step explanation:

y= 4x

when x = 6,

y = 4×6

y= 24

Step-by-step explanation:

Strictly increasing functions:

Let a function f(a) for x = a, then,

f(a + h), for x = a + h,

If f(a + h) > f(a), we say this a strictly increasing function, as with increase in x, f(x) also increases.

In the given graph, there are straight lines so you can say increasing interval would have +ve slope.

For x = -4 to 0, it increases = [-4, 0]

For x = 2 to 5, it increases = [2, 5]

Answer: [-4, 0], [2, 5]

We need to purchase 4 packs of pencils and 4 packs of pens.

A pack of pencils costs $3. This means that to purchase four packs, we can multiply the cost of one pack by the number of packs we want to purchase.

$3.00 + $3.00 + $3.00 + $3.00 = $12.00

However, the distributive property can be completed by using the formula a(b + c), where a is the factor you want to multiply both by.

Since a pack of pencils is $3 and a pack of pens is $5, we can create an expression where a is 4 (this is the amount of packs we want for both pens and pencils), and b and c are the price of a pack of pencils and the price of a pack of pens.

Then, we will use the distributive property, which states that a(b + c) equals ab + ac. This means we multiply a and b and add the product of a and c to it.

Therefore, to purchase 4 packs of pencils and 4 packs of pens, it will cost $32. Let's check our work:

We still reach 32 dollars, so the final answer is $32. This is determined with 4(3 + 5).

The probability of getting one head is 3/8, getting one or fewer heads is 1/2, and getting more than one head is also 1/2.

The probability of getting one head and two tails when flipping a coin three times is 3/8.

The binomial r.v. is X = X1 + X2 + X3, which counts the number of heads in a sequence of three coin flips.

When counting the number of possible outcomes with one head and two tails, we use the formula (3 choose 1), since we have three possible outcomes and one must be a head.

Therefore,

P(X=1) = (3 choose 1)

(1/2)³ =3/8.

P(X ≤ 1) = P(X=0) + P(X=1)

= (3 choose 0)(1/2)³ + (3 choose 1)(1/2)³

= 1/8 + 3/8

= 1/2.

The probability of getting one head is 3/8, getting one or fewer heads is 1/2, and getting more than one head is also 1/2.

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Round the relative unfairness to the nearest thousandth to express it as a proportion. This will provide an indication of the degree of unfairness in the apportionment, specifically in terms of the disparity in board member assignments between Joshua and Salinas.

To determine the relative unfairness of an apportionment that gives a new board member to Joshua instead of Salinas, we need to calculate the difference in the number of board members each individual receives and express it as a proportion of the total number of board members. The relative unfairness is rounded to the nearest thousandth.
Let's denote the number of board members assigned to Joshua as J and the number assigned to Salinas as S. The relative unfairness can be calculated using the formula:
Relative Unfairness = |J - S| / (J + S),
where || represents the absolute value. The numerator of this formula represents the difference in the number of board members each individual receives, while the denominator represents the total number of board members.
To calculate the relative unfairness, you need to know the specific values of J and S in the given apportionment scenario. Once you have those values, substitute them into the formula to find the difference in board members. Then divide this difference by the total number of board members (J + S) to obtain the relative unfairness.
Finally, round the relative unfairness to the nearest thousandth to express it as a proportion. This will provide an indication of the degree of unfairness in the apportionment, specifically in terms of the disparity in board member assignments between Joshua and Salinas.

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Answer:

(for your second question) 23.69

Step-by-step explanation: